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245402252112123 = 3561449195118899
BaseRepresentation
bin110111110011000100101010…
…000100000111000011111011
31012011220020002212222201100000
4313303010222010013003323
5224131132303020041443
62225532123245044043
7102455504401566201
oct6763045204070373
91164806085881300
10245402252112123
117121356876a467
1223634725856623
13a6c1443a05152
144485764bad071
151d587209888d3
hexdf312a1070fb

245402252112123 has 96 divisors (see below), whose sum is σ = 374668519680000. Its totient is φ = 160470326016000.

The previous prime is 245402252112109. The next prime is 245402252112181. The reversal of 245402252112123 is 321211252204542.

245402252112123 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 0 + 2 + 2 + 521 + 1 + 2 + 123 = 666.

245402252112123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 245402252112123 - 216 = 245402252046587 is a prime.

It is not an unprimeable number, because it can be changed into a prime (245402252112923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12984923728 + ... + 12984942626.

It is an arithmetic number, because the mean of its divisors is an integer number (3902797080000).

Almost surely, 2245402252112123 is an apocalyptic number.

245402252112123 is a deficient number, since it is larger than the sum of its proper divisors (129266267567877).

245402252112123 is a wasteful number, since it uses less digits than its factorization.

245402252112123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21375 (or 21363 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 245402252112123 in words is "two hundred forty-five trillion, four hundred two billion, two hundred fifty-two million, one hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 27 61 81 183 243 449 549 1347 1647 1951 4041 4941 5853 12123 14823 17559 18899 27389 36369 52677 56697 82167 109107 119011 158031 170091 246501 357033 474093 510273 739503 875999 1071099 1152839 1530819 2218509 2627997 3213297 3458517 4592457 6655527 7883991 8485651 9639891 10375551 23651973 25456953 28919673 31126653 36871949 53435939 70955919 76370859 93379959 110615847 160307817 212867757 229112577 280139877 331847541 480923451 517624711 687337731 995542623 1442770353 1552874133 2062013193 2249188889 2986627869 4328311059 4658622399 6747566667 8959883607 12984933177 13975867197 16555505101 20242700001 41927601591 49666515303 60728100003 125782804773 148999545909 182184300009 446998637727 546552900027 1009885811161 1340995913181 3029657433483 4022987739543 9088972300449 27266916901347 81800750704041 245402252112123